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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "De Morgan's law that the complement of a union is the intersection of the comple"

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Learn: The conjugate of a compound surd expression

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Spot My Mistake: Simplifying the denominator once the conjugate has been used

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WAEC Prep: Equating the rational and the irrational parts of an equation

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Explain Back: A binary operation defined on the integers

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Worked Example: Testing the even numbers for closure under addition

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Quiz: Testing the odd numbers for closure under addition

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Explain Back: Testing the integers for closure under division

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WAEC Prep: A set closed under one operation but not another

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Quiz: Finding the identity element from an operation table

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Explain Back: An indicial equation with the unknown in the exponent on both sides

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WAEC Prep: Why the logarithm of a negative number does not exist

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Final Revision: The characteristic and the mantissa of a logarithm

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Learn: The change of base formula

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Worked Example: Writing out the terms of a sequence from its nth term

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Worked Example: Finding the common difference of an arithmetic progression

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Learn: The formula for the sum of the first n terms of an arithmetic progression

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Worked Example: The alternative sum formula that uses the last term

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WAEC Prep: A word problem about seats in the rows of a hall

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Worked Example: Finding the common ratio of a geometric progression

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